dorsal/arxiv
View SchemaSubharmonic bifurcation cascade of pattern oscillations caused by winding number increasing entrainment
| Authors | Ch. Jung, B. Huke, M. Luecke |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9810009 |
| URL | https://arxiv.org/abs/patt-sol/9810009 |
| DOI | 10.1103/PhysRevLett.81.3651 |
| Journal | Phys. rev. lett. 81 (1998) 3651-3654 |
Abstract
Convection structures in binary fluid mixtures are investigated for positive Soret coupling in the driving regime where solutal and thermal contributions to the buoyancy forces compete. Bifurcation properties of stable and unstable stationary square, roll, and crossroll (CR) structures and the oscillatory competition between rolls and squares are determined numerically as a function of fluid parameters. A novel type of subharmonic bifurcation cascade (SC) where the oscillation period grows in integer steps as $n (2\pi)/(\omega)$ is found and elucidated to be an entrainment process.
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"abstract": "Convection structures in binary fluid mixtures are investigated for positive\nSoret coupling in the driving regime where solutal and thermal contributions to\nthe buoyancy forces compete. Bifurcation properties of stable and unstable\nstationary square, roll, and crossroll (CR) structures and the oscillatory\ncompetition between rolls and squares are determined numerically as a function\nof fluid parameters. A novel type of subharmonic bifurcation cascade (SC) where\nthe oscillation period grows in integer steps as $n (2\\pi)/(\\omega)$ is found\nand elucidated to be an entrainment process.",
"arxiv_id": "patt-sol/9810009",
"authors": [
"Ch. Jung",
"B. Huke",
"M. Luecke"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevLett.81.3651",
"journal_ref": "Phys. rev. lett. 81 (1998) 3651-3654",
"title": "Subharmonic bifurcation cascade of pattern oscillations caused by winding number increasing entrainment",
"url": "https://arxiv.org/abs/patt-sol/9810009"
},
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